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Finding the Third Proportional to 5,976,011 and 12,866,325

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Solution

The third proportional to 5,976,011 and 12,866,325 is: 27,701,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976,011 : 12,866,325 = 12,866,325 : x
  2. Step 2: Convert to fraction form
    5,976,011/12,866,325 = 12,866,325/x
  3. Step 3: Cross multiply
    5,976,011x = 12,866,325 × 12,866,325
  4. Step 4: Simplify right side
    5,976,011x = 165,542,319,005,625
  5. Step 5: Solve for x
    x = 165,542,319,005,625/5,976,011
  6. Step 6: Final answer
    x = 27,701,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.